13 Aug DescriptionDefine a class for rational numbers. Please downl

DescriptionDefine a class for rational numbers. Please download the Test program and add your code for submission.A rational number is a number that can be represented as the quotient of two integers. For example, 1/2, 3/4, 64/2, and so forth are all rational numbers. (By 1/2, etc., we mean the everyday meaning of the fraction, not the integer division this expression would produce in a C++ program.) Represent rational numbers as two values of type int, one for the numerator and one for the denominator. Call the class Rational.Include:a constructor with two arguments that can be used to set themember variables of an object to any legitimate values.a constructor that has only a single parameter of type int; call this singleparameter whole_number and define the constructor so that the objectwill be initialized to the rational number whole_number/1.a default constructor that initializes an object to 0 (that is, to 0/1).Overload:the input and output operators >> and <<. Numbers are to beinput and output in the form 1/2, 15/32, 300/401, and so forth. Notethat the numerator, the denominator, or both may contain a minussign, so -1/2, 15/32, and -300/-401 are also possible inputs. all of the following operators so that they correctly apply to the typeRational: ==, <, <=, >, >=, +, -, *, and /. (Hints: Two rational numbers a/b and c/d are equal if a*d equalsc*b. If b and d are positive rational numbers, a/b is less than c/dprovided a*d is less than c*b. You should include a function to normalizethe values stored so that, after normalization, the denominatoris positive and the numerator and denominator are as smallas possible. For example, after normalization 4/-8 would be representedthe same as -1/2.)RequirementsDOWNLOAD TEST PROGRAM and add your code for this lab. Do not change any code that’s already inside the test program, but add your class member variables and function definition and implementationsFollow the ADT (Abstract Data Type) guideline to implement the required class.Comment well in your program and any functions you useTest Cases1/2, -1/2, 4, 0, -/12 (should cause error)Demo Welcome to the Rational World of Wonders!Please enter a rational number for this calculation:1/21/2 + 1/2 = 11/2 – 1/2 = 01/2 * 1/2 = 1/41/2 / 1/2 = 11/2 == 1/2 : true1/2 < 1/2 : false1/2 <= 1/2 : true1/2 > 1/2 : false1/2 >= 1/2 : true